I expect the mother is probably already pregnant again, the fact the baby was abandoned around an hour after birth tells me it’s not likely it was the mother who left her there. I gave birth alone with no pain relief, it was a pretty quick delivery and took around an hour for the placenta to come out, but I would not have had the strength or energy to get up and go outside. I had to be wheeled to the ambulance when it eventually arrived and I was bleeding everywhere, I think that a woman in that state would’ve been noticed in the park.
We don’t need baby boxes in this country, there’s nothing stopping anyone leaving a baby on a doorstep, fire station, hospital or handing them to a stranger in the street and refusing to give their name.
I knew someone who adopted a little boy as a baby and was refused permission to change his name as it was ‘part of his history’ she just waited until the adoption went through and changed it anyway, to be fair the name given to him by his birth parents was awful (and I don’t mean not to my taste, I mean it wasn’t a proper name and it was just stupid)